There are members on the board of directors for a certain non-profit institution. a. If they must elect a chairperson, first vice chairperson, second vice chairperson, and secretary, how many different slates of candidates are possible? b. If they must form an ethics subcommittee of four members, how many different subcommittees are possible?

a. 1320

b.495

Step-by-step explanation:

Complete question is provided in the attachment.

Total members on the board = 12

a. Persons to chose : chairperson, first vice chairperson, second vice chairperson, and secretary

i.e. Total 3 posts in an order.

Number of ways to choose 3 persons from 12 in an order =  [By permutation]

hence, 1320 different slates of candidates are possible .

b. number of ways to choose 4 members out of 12 ( order not matters)=[By combinations]

Hence, the number of different subcommittees are possible =495

b. would be the answer : )

step-by-step explanation:

step 1: add -16x to both sides.

16x−4y+−16x=64+−16x  

−4y=−16x+64

step 2: divide both sides by -4.

−4y /-4 = -16x + 64/-4

answer:   y=4x−16

hope i'm right